Finite Group Databasebeta

← #11675280

Subgroups — #11675280

Order 768.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3501C211yesmaximal, characteristic, complemented
2#86260C211yesmaximal, characteristic, complemented
3#83645C214yesmaximal, complemented
4#83644C214yesmaximal, complemented
5#83639C214yesmaximal, complemented
6#83563C214yesmaximal, complemented
7#83475C212yesmaximal, complemented
8#83471C212yesmaximal, complemented
9#83367C211yesmaximal, characteristic, complemented
10#83335C211yesmaximal, characteristic, complemented
11#83329C211yesmaximal, characteristic, complemented
12#82544C212yesmaximal, complemented
13#82537C212yesmaximal, complemented
14#82307C211yesmaximal, characteristic
15C2×#5018C211yesmaximal, characteristic, complemented
16#61333—31nomaximal, Sylow
17C3×#554—21no—
18C3×#554—22no—
19C3×#554C2214yes—
20C3×#554C2212yes—
21C3×D4×Q8—21no—
22C3×D4×Q8C2212yes—
23C3×#544C2212yes—
24C3×#543—22no—
25C3×#533C2211yescharacteristic
26C3×#533C2211yescharacteristic
27C2×C3×C22⋊Q8—22no—
28C3×#518C2212yes—
29C2×C3×C4×D4C2211yescharacteristic
30C22×#214C2211yescharacteristic
31C2×#932C2212yes—
32#5732—21no—
33#5730—21no—
34#5694—22no—
35#5645—22no—
36#5624—22no—
37#5585C2212yescomplemented
38#5584C2214yescomplemented
39#5570C2212yescomplemented
40#5526C2212yes—
41#5523C2212yes—
42#5477C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C2×#832C2211yescharacteristic
45#5094C2212yescomplemented
46#5093C2214yescomplemented
47#5091C2214yescomplemented
48#5091C2212yescomplemented
49#5089C2214yescomplemented
50#5089C2212yescomplemented
51#5089C2212yescomplemented
52#5087C2214yescomplemented
53#5069C2214yescomplemented
54#5069C2212yescomplemented
55#5068C2214yescomplemented
56#5067C2212yescomplemented
57#5066C2214yescomplemented
58#5063C2214yescomplemented
59#5063C2214yescomplemented
60#5024C2214yescomplemented
61#5024C2214yescomplemented
62#5019C2214yes—
63#5019C2214yes—
64#5019C2212yes—
65#5018C2214yes—
66#5018C2214yes—
67#5018C2214yes—
68C4×#214C2214yes—
69#5016C2214yes—
70#5016C2214yes—
71#5016C2214yes—
72#5015C2212yes—
73#5014C2214yes—
74C4×#213C2214yes—
75#5004C2212yes—
76#5002C2212yes—
77#5002C2212yes—
78#4999C2212yes—
79#4997C2212yes—
80#4995C2212yes—
81C2×#810C2211yescharacteristic
82#4966C2212yes—
83C2×#807C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3507—31no—
87#3501D311yescharacteristic, complemented
88#3376—34no—
89#3372—34no—
90#3370—34no—
91#3367—34no—
92#3137—32no—
93#3135—31no—
94#3083—32no—
95#3078—31no—
96#3042—32no—
97#3036—31no—
98#2961—31no—
99#2946—32no—
100C2×#440—31no—
101C22×C3×Q8—22no—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4—21no—
104C2×#235C2312yes—
105C22×Dic6C2311yescharacteristic
106C3×C4⋊Q8—22no—
107C3×C4⋊Q8D411yescharacteristic
108C3×C4⋊Q8D411yescharacteristic
109C3×C4⋊Q8C2314yes—
110C3×C4⋊Q8C2311yescharacteristic
111C3×C4⋊Q8C2311yescharacteristic
112C3×#125—22no—
113C3×#125D412yes—
114C3×#125C2312yes—
115C3×#125C2314yes—
116C3×C22⋊Q8—22no—
117C3×C22⋊Q8—24no—
118C3×C22⋊Q8—21no—
119C3×C22⋊Q8—21no—
120C3×C22⋊Q8—22no—
121C3×C22⋊Q8—24no—
122C3×C22⋊Q8—24no—
123C3×C22⋊Q8—24no—
124C3×C22⋊Q8—24no—
125C3×C22⋊Q8—24no—
126C3×C22⋊Q8D412yes—
127C3×C22⋊Q8D412yes—
128C3×C4×Q8—21no—
129C3×C4×Q8—21no—
130C3×C4×Q8C2312yes—
131C3×C4×Q8C2312yes—
132C3×C4×D4—22no—
133C3×C4×D4—22no—
134C3×C4×D4—21no—
135C3×C4×D4—21no—
136C3×C4×D4C2314yes—
137C3×C4×D4C2314yes—
138C3×C4×D4C2312yes—
139C3×C4×D4C2312yes—
140C3×#117C2312yes—
141C3×#117C2312yes—
142C2×C3×C4⋊C4—24no—
143C2×C3×C4⋊C4—22no—
144C2×C3×C4⋊C4C2311yescharacteristic
145C2×C3×C22⋊C4—21no—
146C2×C3×C22⋊C4—24no—
147C2×C3×C42C2311yescharacteristic
148#947—22no—
149#946—24no—
150Q8×Dic3—22no—
151C2×#214—24no—
152C2×#214C2314yes—
153C2×#214C2314yes—
154#932—28no—
155C2×#213C2314yes—
156#930—21no—
157#930—21no—
158C2×C4⋊Dic3C2311yescharacteristic
159C2×Dic3⋊C4—21no—
160C2×C4×Dic3—21no—
161C2×#208C2312yes—
162C22×C3⋊C8C2311yescharacteristic
163C22×C3⋊C8C2311yescharacteristic
164#898—24no—
165#898—24no—
166#897—22no—
167#897—22no—
168#894—24no—
169#893—22no—
170#892—22no—
171#892—24no—
172D3×C4⋊C4—22no—
173#890—24no—
174#890—22no—
175#886—24no—
176#67⋊C4—24no—
177#875C2312yes—
178#875C2314yes—
179#874C2311yescharacteristic
180C4×D12—21no—
181C4×D12—21no—
182C4×D12C2314yes—
183#869C2311yescharacteristic
184#869C2314yes—
185C4×Dic6—21no—
186C4×Dic6—21no—
187C4×Dic6C2312yes—
188C4×Dic6C2312yes—
189C4×Dic6C2314yes—
190#832C2314yes—
191#810C2314yes—
192#810C2314yes—
193#810C2312yes—
194#810C2312yes—
195#810C2312yes—
196#810C2312yes—
197#810C2314yes—
198#810C2314yes—
199#809C2314yes—
200#809C2312yes—
201#809C2312yes—
202#809C2312yes—
203#809C2312yes—
204#808C2314yes—
205#807C2314yes—
206#807C2314yes—
207C4⋊(C3⋊C8)C2312yes—
208C4⋊(C3⋊C8)C2312yes—
209C4⋊(C3⋊C8)C2314yes—
210C4⋊(C3⋊C8)C2314yes—
211#803C2312yes—
212#803C2312yes—
213#803C2314yes—
214C4×C3⋊C8C2314yes—
215C2×AGL(1,ℤ/8)—32no—
216C22×SD16—31no—
217#559—32no—
218#557—32no—
219#556—34no—
220#556—61no—
221#554—21no—
222#554—22no—
223#554—61no—
224#554C2×D314yes—
225#554C2×D312yes—
226#552—62no—
227D4×Q8—21no—
228D4×Q8C2×D312yes—
229#544C2×D312yes—
230#543—22no—
231#539—62no—
232#536—32no—
233#533C2×D311yescharacteristic
234#533C2×D311yescharacteristic
235#532—31no—
236#529—62no—
237C2×C22⋊Q8—22no—
238#520—32no—
239#518C2×D312yes—
240C2×C4×Q8—31no—
241C2×C4×D4C2×D311yescharacteristic
242#491—32no—
243#491—34no—
244#490—32no—
245#489—32no—
246#489—34no—
247#489—32no—
248#488—34no—
249#487—34no—
250#479—34no—
251#479—34no—
252#478—34no—
253#477—32no—
254#477—34no—
255#475—32no—
256#474—34no—
257#463—34no—
258#463—34no—
259#463—34no—
260#461—34no—
261#461—32no—
262#461—34no—
263#459—32no—
264#446—34no—
265#446—34no—
266#442—34no—
267#440—34no—
268#440—34no—
269#440—34no—
270C4×SD16—34no—
271C4×D8—34no—
272#428—32no—
273C2×#107—31no—
274#424—32no—
275#423—31no—
276#419—32no—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#103—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C24×C3—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—21no—
287C2×C3×Q8—24no—
288C2×C3×Q8—84no—
289C2×C3×Q8C2×D412yes—
290C2×C3×Q8C2×D412yes—
291C2×C3×D4—21no—
292C2×C3×D4—22no—
293C2×C3×D4#4114yes—
294C2×C3×D4C2412yes—
295C22×C3×C4—21no—
296C22×C3×C4—22no—
297C22×C3×C4—24no—
298C22×C3×C4—24no—
299C22×C3×C4—22no—
300C22×C3×C4—82no—
301C22×C3×C4C2×D411yescharacteristic
302C22×C3×C4C2×D411yescharacteristic
303C22×C3×C4C2411yescharacteristic
304C2×#67—22no—
305C22×Dic3—21no—
306C22×Dic3—21no—
307#235—24no—
308#235—24no—
309C2×D12—21no—
310C2×D12—21no—
311C2×D12C2412yes—
312C2×C4×D3—22no—
313C2×C4×D3—24no—
314C2×Dic6—22no—
315C2×Dic6—22no—
316C2×Dic6—21no—
317C2×Dic6C2412yes—
318C2×Dic6C2412yes—
319C3×C4⋊C4—22no—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—24no—
322C3×C4⋊C4—24no—
323C3×C4⋊C4—24no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—22no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4C2×D412yes—
328C3×C4⋊C4C2×D414yes—
329C3×C4⋊C4C2×D412yes—
330C3×C4⋊C4C2×D412yes—
331C3×C4⋊C4C2×D414yes—
332C3×C4⋊C4C2×D412yes—
333C3×C4⋊C4C2412yes—
334C3×C4⋊C4C2412yes—
335C3×C4⋊C4C2412yes—
336C3×C22⋊C4—22no—
337C3×C22⋊C4—24no—
338C3×C22⋊C4—24no—
339C3×C22⋊C4—22no—
340C3×C22⋊C4—22no—
341C3×C22⋊C4C2×D414yes—
342C3×C42—22no—
343C3×C42C2×D411yescharacteristic
344C3×C42C2×D411yescharacteristic
345C3×C42C2414yes—
346C3×C42C2411yescharacteristic
347C3×C42C2411yescharacteristic
348#214—28no—
349#214—28no—
350#213—28no—
351(C2×D3)⋊C4—22no—
352(C2×D3)⋊C4—22no—
353(C2×D3)⋊C4—24no—
354(C2×D3)⋊C4—24no—
355(C2×D3)⋊C4—24no—
356C4⋊Dic3—21no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—24no—
360C4⋊Dic3—24no—
361C4⋊Dic3C2412yes—
362Dic3⋊C4—22no—
363Dic3⋊C4—22no—
364Dic3⋊C4—24no—
365C4×Dic3—22no—
366C4×Dic3—22no—
367C4×Dic3—24no—
368#208—24no—
369C2×C3⋊C8—22no—
370C2×C3⋊C8—22no—
371C2×C3⋊C8C2412yes—
372C2×C3⋊C8C2414yes—
373C2×C3⋊C8C2412yes—
374C2×#41—32no—
375C22×Q8—22no—
376C22×Q8—31no—
377C22×D4C22×D311yescharacteristic
378C23×C4—21no—
379AGL(1,ℤ/8)—68no—
380C2×SD16—34no—
381C2×SD16—34no—
382C2×SD16—64no—
383C2×D8—34no—
384C2×M16—32no—
385C22×C8—31no—
386C22×C8—31no—
387C4⋊Q8—22no—
388C4⋊Q8—31no—
389C4⋊Q8—34no—
390C4⋊Q8#6711yescharacteristic
391C4⋊Q8#6711yescharacteristic
392C4⋊Q8C22×D311yescharacteristic
393C4⋊Q8C22×D311yescharacteristic
394C4⋊Q8C22×D314yes—
395#127—31no—
396#126—64no—
397#126—64no—
398#125—22no—
399#125—62no—
400#125—64no—
401#125#6712yes—
402#125C22×D312yes—
403#125C22×D314yes—
404#124—32no—
405#124—34no—
406#124—62no—
407#123—64no—
408#123—64no—
409C22⋊Q8—22no—
410C22⋊Q8—24no—
411C22⋊Q8—21no—
412C22⋊Q8—21no—
413C22⋊Q8—22no—
414C22⋊Q8—24no—
415C22⋊Q8—24no—
416C22⋊Q8—24no—
417C22⋊Q8—24no—
418C22⋊Q8—24no—
419C22⋊Q8—64no—
420C22⋊Q8—62no—
421C22⋊Q8—62no—
422C22⋊Q8#6712yes—
423C22⋊Q8#6712yes—
424#121—61no—
425#121—61no—
426C4×Q8—21no—
427C4×Q8—21no—
428C4×Q8—32no—
429C4×Q8—32no—
430C4×Q8—34no—
431C4×Q8—62no—
432C4×Q8—61no—
433C4×Q8—61no—
434C4×Q8C22×D312yes—
435C4×Q8C22×D312yes—
436C4×D4—22no—
437C4×D4—22no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—34no—
441C4×D4—62no—
442C4×D4—64no—
443C4×D4—61no—
444C4×D4—61no—
445C4×D4C22×D312yes—
446C4×D4C22×D312yes—
447C4×D4C22×D314yes—
448C4×D4C22×D314yes—
449#117—62no—
450#117—64no—
451#117C22×D312yes—
452#117C22×D312yes—
453C2×C4⋊C4—24no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—31no—
456C2×C4⋊C4—61no—
457C2×C4⋊C4—62no—
458C2×C4⋊C4C22×D311yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—24no—
461C2×C42—61no—
462C2×C42C22×D311yescharacteristic
463#107—34no—
464#107—34no—
465#106—34no—
466C4⋊C8—32no—
467C4⋊C8—32no—
468C4⋊C8—34no—
469C4⋊C8—34no—
470#103—34no—
471#103—32no—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—34no—
476#103—34no—
477#103—34no—
478#102—34no—
479#102—32no—
480#102—32no—
481#102—32no—
482#102—32no—
483#102—34no—
484#97—32no—
485#97—32no—
486#97—34no—
487C4×C8—34no—
488C23×C3—22no—
489C23×C3—24no—
490C23×C3—81no—
491C23×C3—81no—
492C23×C3C22×D411yescharacteristic
493C22×D3—22no—
494C3×Q8—42no—
495C3×Q8—42no—
496C3×Q8—42no—
497C3×Q8—81no—
498C3×Q8—84no—
499C3×D4—24no—
500C3×D4—22no—
501C3×D4C2×#4114yes—
502C2×C3×C4—22no—
503C2×C3×C4—22no—
504C2×C3×C4—22no—
505C2×C3×C4—41no—
506C2×C3×C4—41no—
507C2×C3×C4—44no—
508C2×C3×C4—84no—
509C2×C3×C4—82no—
510C2×C3×C4—84no—
511C2×C3×C4—81no—
512C2×C3×C4C22×D411yescharacteristic
513C2×C3×C4C22×D411yescharacteristic
514C2×C3×C4C22×D414yes—
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C22×D414yes—
518C2×C3×C4C22×D411yescharacteristic
519C2×C3×C4C2×#4112yes—
520C2×C3×C42−1+412yes—
521C2×C3×C4C2511yescharacteristic
522#67—44no—
523C2×Dic3—22no—
524C2×Dic3—22no—
525C2×Dic3—22no—
526C2×Dic3—42no—
527C2×Dic3—81no—
528D12—22no—
529D12—22no—
530D12—42no—
531D12—81no—
532C4×D3—44no—
533C4×D3—84no—
534Dic6—22no—
535Dic6—22no—
536Dic6—22no—
537Dic6—22no—
538Dic6—42no—
539C3⋊C8—22no—
540C3⋊C8—24no—
541C3⋊C8—22no—
542C24—21no—
543#41—64no—
544#41—64no—
545C2×Q8—21no—
546C2×Q8—21no—
547C2×Q8—24no—
548C2×Q8—32no—
549C2×Q8—32no—
550C2×Q8—61no—
551C2×Q8—62no—
552C2×Q8—62no—
553C2×Q8—84no—
554C2×Q8C2×#6712yes—
555C2×Q8C2×#6712yes—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—32no—
559C2×D4—62no—
560C2×D4—61no—
561C2×D4—61no—
562C2×D4#23914yes—
563C2×D4C23×D312yes—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—24no—
567C22×C4—24no—
568C22×C4—22no—
569C22×C4—61no—
570C22×C4—61no—
571C22×C4—62no—
572C22×C4—64no—
573C22×C4—82no—
574C22×C4C2×#6711yescharacteristic
575C22×C4C2×#6711yescharacteristic
576C22×C4C23×D311yescharacteristic
577SD16—68no—
578SD16—68no—
579D8—68no—
580M16—64no—
581C2×C8—32no—
582C2×C8—34no—
583C2×C8—32no—
584C2×C8—62no—
585C2×C8—62no—
586C4⋊C4—22no—
587C4⋊C4—21no—
588C4⋊C4—24no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—32no—
595C4⋊C4—61no—
596C4⋊C4—64no—
597C4⋊C4—62no—
598C4⋊C4—62no—
599C4⋊C4—64no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—64no—
603C4⋊C4C2×#6714yes—
604C4⋊C4C2×#6712yes—
605C4⋊C4C2×#6712yes—
606C4⋊C4C2×#6712yes—
607C4⋊C4C2×#6714yes—
608C4⋊C4C2×#6712yes—
609C4⋊C4C23×D312yes—
610C4⋊C4C23×D312yes—
611C4⋊C4C23×D312yes—
612C22⋊C4—22no—
613C22⋊C4—24no—
614C22⋊C4—24no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—62no—
618C22⋊C4—64no—
619C22⋊C4—64no—
620C22⋊C4—62no—
621C22⋊C4—64no—
622C22⋊C4C2×#6714yes—
623C42—22no—
624C42—62no—
625C42—62no—
626C42—64no—
627C42C2×#6711yescharacteristic
628C42C2×#6711yescharacteristic
629C42C23×D314yes—
630C42C23×D311yescharacteristic
631C42C23×D311yescharacteristic
632C22×C3—21no—
633C22×C3—21no—
634C22×C3—24no—
635C22×C3—42no—
636C22×C3—42no—
637C22×C3—84no—
638C22×C3#54812yes—
639C22×C3C23×D411yescharacteristic
640C2×D3—42no—
641C2×D3—42no—
642C2×D3—42no—
643C3×C4—24no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—24no—
649C3×C4—42no—
650C3×C4—42no—
651C3×C4—42no—
652C3×C4#54812yes—
653C3×C4C22×#4111yescharacteristic
654C3×C4C2×2−1+411yescharacteristic
655Dic3—42no—
656Dic3—42no—
657Dic3—42no—
658C23—22no—
659C23—24no—
660C23—62no—
661C23—81no—
662C23—81no—
663C23C22×#6711yescharacteristic
664Q8—42no—
665Q8—42no—
666Q8—42no—
667Q8—62no—
668Q8—62no—
669Q8—62no—
670Q8—62no—
671Q8—84no—
672Q8—81no—
673Q8—122no—
674D4—22no—
675D4—24no—
676D4—62no—
677D4—62no—
678D4—122no—
679D4—124no—
680D4—241no—
681D4C2×#23914yes—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—82no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—81no—
695C2×C4—122no—
696C2×C4—124no—
697C2×C4—244no—
698C2×C4—241no—
699C2×C4C2×#23912yes—
700C2×C4#100712yes—
701C2×C4C22×#6711yescharacteristic
702C2×C4C22×#6711yescharacteristic
703C2×C4C22×#6714yes—
704C2×C4C22×#6711yescharacteristic
705C2×C4C22×#6711yescharacteristic
706C2×C4C22×#6714yes—
707C2×C4C22×#6711yescharacteristic
708C2×C4C24×D311yescharacteristic
709C8—62no—
710C8—64no—
711C8—62no—
712C2×C3—22no—
713C2×C3—44no—
714C2×C3C2×#54811yescharacteristic
715C2×C3#358511yescharacteristic
716C2×C3#358611yescharacteristic
717D3—82no—
718C22—21no—
719C22—21no—
720C22—24no—
721C22—42no—
722C22—42no—
723C22—84no—
724C22—122no—
725C22—122no—
726C22—122no—
727C22#581712yes—
728C22C23×#6711yescharacteristic
729C4—21no—
730C4—21no—
731C4—24no—
732C4—21no—
733C4—21no—
734C4—24no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—122no—
739C4—122no—
740C4—122no—
741C4#581712yes—
742C4C22×#23911yescharacteristic
743C4C2×#100711yescharacteristic
744C3#6133311yescharacteristic, complemented, Sylow
745C2—22no—
746C2—44no—
747C2—242no—
748C2C2×#581711yescharacteristic
749C2#8727711yescharacteristic
750C2#8729911yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3501C2
socleC22×C3C23×D4
prime radical#82307C2
hypercenter#3501D3
hypocenterC3#61333
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×#3501C2semidirect
2. #86260C2semidirect
3. #83645C2semidirect
4. #83644C2semidirect
5. #83639C2semidirect
6. #83563C2semidirect
7. #83475C2semidirect
8. #83471C2semidirect
9. #83367C2semidirect
10. #83335C2semidirect
11. #83329C2semidirect
12. #82544C2semidirect
13. #82537C2semidirect
15. C2×#5018C2semidirect
37. #5585C22semidirect
38. #5584C22semidirect
39. #5570C22semidirect
45. #5094C22semidirect
46. #5093C22semidirect
47. #5091C22semidirect
48. #5091C22semidirect
49. #5089C22semidirect
50. #5089C22semidirect
51. #5089C22semidirect
52. #5087C22semidirect
53. #5069C22semidirect
54. #5069C22semidirect
55. #5068C22semidirect
56. #5067C22semidirect
57. #5066C22semidirect
58. #5063C22semidirect
59. #5063C22semidirect
60. #5024C22semidirect
61. #5024C22semidirect
87. #3501D3semidirect
744. C3#61333semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×#35012
#862602
#836452
#836442
#836392
#835632
#834752
#834712
#833672
#833352
#833292
#825442
#825372
#823072
C2×#50182
#613333